两相同部件冷贮备可修系统算子性质  

Properties of the System Operator of the 1-Unit Repairable System with an Identical Cold Standby

作　　者：赵玉荣[1] 刘诗[2] 朱健宇[3] 李伟源[2] 张玉峰[2] 

机构地区：[1]牡丹江师范学院理学院,黑龙江牡丹江157012 [2]延边大学理学院数学系,吉林延吉133002 [3]牡丹江师范学院信息科,黑龙江牡丹江157012

出　　处：《数学的实践与认识》2014年第2期262-270,共9页Mathematics in Practice and Theory

基　　金：牡丹江师范学院科研基金项目(一般项目编号Ky201005)

摘　　要：研究了两相同部件冷贮备可修系统算子性质,此系统由2个同型部件及一个修理设备构成.其中一个部件工作,另一个部件冷储备.运用C_0半群的理论,证明了系统算子是稠定的预解正算子,得出了系统算子的共轭算子及其定义域,并证明了系统算子的增长界为0.最后运用了预解正算子中共尾的概念及相关理论,证明了系统算子的谱上界也是0.We investigate the repairable system which is an 1-unit system supported by an identical cold standby.Using C0-semigroup theory,we first prove the system operator is a densely defined resolvent positive operator.Then,we obtain the adjoint operator of the system operator and its domain.Furthermore,we prove that 0 is the growth bound of the system operator.Finally,we show that 0 is also the upper spectral bound of the system operator using the concept of cofinal and relative theory.

关 键 词：可修系统 冷储备 预解正算子 共轭算子 增长界 共尾 谱上界 

分 类 号：TB114.3[理学—概率论与数理统计]